Abstract
Although sparse direct solvers are very competitive, they can be less efficient for challenging problems due to their storage and computational limitations. If we cannot solve the saddle-point problem directly, in many applications, we have to use some iterative method. Coupled iterative methods applied to the system ( 1.1) take some initial guess Open image in new window and generate approximate solutions Open image in new window for k = 1, … such that they satisfy Open image in new window . The convergence to the exact solution Open image in new window can be also measured using the residual vectors given as Open image in new window , where we eventually have Open image in new window .
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